hexagon

1082: Advent of Tessellations

| wonko

It was late in the semester, I was looking for a folding project (to add to the other 4 already on my board – procrastigami strikes again) and noticed in my feeds a 25-day program by Madonna Yoder called “Advent of Tess”. I guess I am supposed to know about Advent, having worked in a Catholic boys school for 33 years, but… apparently it is the 25 days in December leading up to Xmas (learn something every day)

The idea was that Madonna released a CP and a video tutorial each day for 25 days, victims start with hexagons of paper pre-creased into 16-grid triangles, and collapse increasingly difficult combinations of tessellation techniques on the page.

1-5 (front/back/backlit): Cluster 6, cluster 4, cluster 6 alternating, cluster 4 alternating, HT6 closed alternating

The first few were easy, and collapsed simply, but then I decided I did not need the tutorials and proceeded to mark up the paper with the day’s CP and collapse from that. This approach came awry pretty quickly as the elements began to argue for the same real estate on the sheet and I learned that sequential development was way more sustainable.

The folds started with closed triangle twists (something I had done a lot of previously, so found accurate placement of these fairly easy. We later progressed to “open” triangle twists, which are much harder, and require a “setup” that uses paper tension to define the lines off-grid that were the sides of the triangle.

6-10 (front/back/backlit): Triangle double-bar wells, shrinking violet, studded wheels, radiant, dancing ribbons

We then progressed to closed hexagon twists (again, something I had done lots of beforehand) and refined them into “open” hexagon twists – a fascinating variation of a “star puff” of which I had passing familiarity.

Continue reading →

1068: Russian Lilac Module

| wonko

I stumbled across the instructions for a glorious checkerboard kusudama designed by Andrey Ermakov, an insanely talented designer from Russia:

Russian Lilac unit designed by Andrey Ermakov
Russian Lilac unit

I decided to try and make ONE module – an exhausting process that starts with a HEXAGON initially divided into a 16 grid, then you dance through moves that flash and hide the reverse colour of the paper until you get this lovely pattern. This took me in excess of 2 hours!!! For ONE unit!!!!! You then crenelate and interweave them to make a spikey ball, tucking in tips to complete the tessellated surfaces.

Russian Lilac shaped to allow others to interlock.

Had I no life, and a LOT of paper, I would consider making all 30(!?!?!?!) of these things necessary to make the most complex spikey ball there is – a beauty that is not within my reach (for now) due to time pressures.

It is a timely reminder that astonishing and beautiful things come from Russia; ugly political and military action does not diminish this fact.

861: (311/365) Tessellated Star Box

| wonko

I saw a photo sequence of a tessellation that was fashioned into a box and knew I had to try it:

Well, I say tessellation, but really this is just one molecule, but it is none the less beautiful. Continue reading →

851: (301/365) Vale Vicky

| wonko

People process loss in different ways. 10 years ago a friend lost her fight with cancer and I am still saddened by the loss of such a bright and affirming soul:

While I could not bring myself to attend a memorial mass, none the less I still feel the loss. I chose to find solace in the many wonderful memories of a friend and confidante. Continue reading →

791: (241/365) Flower Tessellation

| wonko

Browsing a MiniNeo eZine that I follow, I noticed a rather interesting looking hexagonal flower and thought it worth a try:

You triangle grid a hexagon into 16ths, then put a hex twist in the middle, then add the swing-back on petals and tidy up the tessellation to make a swirl. Continue reading →

787: (237/365) Daffy Down Dilly

| wonko

Today (August 25) is Daffodil Day, daffodils being the icon associated with cancer awareness and fundraising for an eventual cure. You can get involved, donate or buy badges and sponsored bunches of flowers to show your support:

This seems to be a traditional model (sorry, I have yet to identify the designer) but is related to folds I have been exploring for a week or so based on non-squares. Continue reading →

786: (236/365) Beth Johnson’s Hex Owl

| wonko

I cannot believe I have not tried this before:

A lovely hexagonal tessellation in one corner of a hexagon becomes the fluffy tummy, collapsing the body makes for lovely eyes and a pair of crenellated wings. Continue reading →

662: (112/365) Spiral Corrugation

| wonko

Origami seems to be the new Materials Engineering black, being considered a contemporary alternative approach to fabrication and structure:

I was reading an article on deploying large solar arrays in space. This problem is not unique – everything taken into space must be small at launch so it can fit in a rocket. Continue reading →

Folding Algorithms – Sato Rose

| wonko

Much of Origami is algorithmic (algorithm = procedural solution to a problem). A rabbit ear is an algorithm, one knows how to fold it on a corner – double rabbit ear is the same solution, folded two simultaneously. Petal fold is also a standard maneuver which got me thinking of the Sato Rose algorithm.

I like this algorithm particularly because of the free-form nature of much of the folding, and the way it seems to “fit” a pentagon. I decided to use the same folding algorithm but try it with other regular polygons – I tried triangle(3), square(4), pentagon(5), hexagon(6), heptagon(7), octagon(8), nonagon(9) but gave up on the decagon(10).

The algorithm involves “nearly” bisecting each vertex to form an echo shape at the centre of the sheet – you then halve that internal echo to create a slightly offset echo and use that as the basis of a “kawasaki twist” Continue reading →

238: Daffodil Day

| wonko

In Australia, August 26 this year is nominated as “Daffodil Day”:

We celebrate the lives of those brave people who have fought cancer in all it’s forms – to do so we use a flower, the fragile symbol of hope and beauty:

I made a white one, then folded 4 in colour and scattered then strategically around my school. I remembered, if few others did initially. I do this in memory of some dear friends that lost the fight and suffer no more.

A complex and time-consuming fold,  the flower head is dense and made, unusually from a hexagon cut from an A3 sheet, it collapses down to a life-size bloom via some interesting sinking, swivels and squash folds. An interesting (and cathartic) fold designed by Paul Jackson, taken from a book loaned to me by Amanda (thanks @ackygirl)

I hope you remembered Daffodil Day, or at the very least people you know who have been touched by Cancer.

95: Star Puff tesselations

| wonko

I am fairly new to box pleating and tessellated patterns but this one caught my eye and I had to try it:

Oddly, it works on 120 degree angles, so a hexagon is perfect as a starter. I would like to say it was all neat and went to plan, but the individual “triangle twists” are not as even as I would like (I put that down to having no idea what I was doing initially) – certainly they got better the more of them I completed:

I get the impression that the smaller the pleats, the more of the units fit, but the more complex the interaction between them so you get folded into fiddly corners. I quite like the triangle twist method, some pleasing shapes emerge from it.

You should give this a try – do not be frightened by the link, the instructor speaks English amidst the sea of German: star puff